A352194 It seems that the n-th prime p appears in A064413 at around position 2*p; if in fact A064413(w) = p then set a(n) = 2*p-w.

2, 1, 0, 0, 2, -2, 1, 1, 3, 1, 1, 7, 8, 5, 5, 6, 11, 7, 6, 8, 8, 7, 6, 11, 12, 13, 9, 11, 11, 10, 18, 9, 15, 14, 19, 15, 17, 21, 20, 18, 22, 18, 19, 15, 17, 17, 21, 26, 24, 20, 22, 20, 20, 28, 27, 25, 28, 25, 24, 22, 17, 29, 33, 35, 27, 28, 33, 35, 39, 34, 36, 37, 35, 39, 34, 36, 42, 38, 36, 37, 40, 40, 48, 47, 45, 38, 41, 40

Offset: 1

Author

N. J. A. Sloane, Mar 13 2022

Keywords

• sign

Comments

This is the amount by which p appears in advance of its expected position.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..690

Crossrefs

Cf. A008578, A064413, A064955.

Formula

a(n) = 2*A008578(n) - A064955(n-1).